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12404341440 = 2632525716759
BaseRepresentation
bin10111000110101101…
…10011101011000000
31012000110221211112100
423203112303223000
5200401002411230
65410512030400
7616251106521
oct134326635300
935013854470
1012404341440
115295a22357
1224a2232400
131228b6620a
148595d2848
154c8ee0660
hex2e35b3ac0

12404341440 has 168 divisors, whose sum is σ = 42834336480. Its totient is φ = 3294756864.

The previous prime is 12404341423. The next prime is 12404341459. The reversal of 12404341440 is 4414340421.

12404341440 is a `hidden beast` number, since 1 + 240 + 4 + 3 + 414 + 4 + 0 = 666.

12404341440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731781 + ... + 748539.

Almost surely, 212404341440 is an apocalyptic number.

12404341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417168240).

12404341440 is an abundant number, since it is smaller than the sum of its proper divisors (30429995040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12404341440 is a wasteful number, since it uses less digits than its factorization.

12404341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17039 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12404341440 its reverse (4414340421), we get a palindrome (16818681861).

The spelling of 12404341440 in words is "twelve billion, four hundred four million, three hundred forty-one thousand, four hundred forty".